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We introduce a computational method for global optimization of structure and ordering in atomic systems. The method relies on interpolation between chemical elements, which is incorporated in a machine learning structural fingerprint. The…

Materials Science · Physics 2021-10-18 Sami Kaappa , Casper Larsen , Karsten Wedel Jacobsen

A prominent approach to solving combinatorial optimization problems on parallel hardware is Ising machines, i.e., hardware implementations of networks of interacting binary spin variables. Most Ising machines leverage second-order…

Emerging Technologies · Computer Science 2022-12-08 Connor Bybee , Denis Kleyko , Dmitri E. Nikonov , Amir Khosrowshahi , Bruno A. Olshausen , Friedrich T. Sommer

Quantum annealers, coherent Ising machines and digital Ising machines for solving quantum-inspired optimization problems have been developing rapidly due to their near-term applications. The numerical solvers of the digital Ising machines…

Quantum Physics · Physics 2024-09-04 Langyu Li , Daoyi Dong , Yu Pan

Ising machines, including quantum annealing machines, are promising next-generation computers for combinatorial optimization problems. However, due to hardware limitations, most Ising-type hardware can only solve objective functions…

Statistical Mechanics · Physics 2025-10-29 Kazuki Ikeuchi , Yoshiki Matsuda , Shu Tanaka

Standard procedures for local crystal-structure optimisation involve numerous energy and force calculations. It is common to calculate an energy-volume curve, fitting an equation of state around the equilibrium cell volume. This is a…

Materials Science · Physics 2016-01-26 Adam J. Jackson , Jonathan M. Skelton , Christopher H. Hendon , Keith T. Butler , Aron Walsh

Global optimization of crystal compositions is a significant yet computationally intensive method to identify stable structures within chemical space. The specific physical properties linked to a three-dimensional atomic arrangement make…

Ising machines are hardware solvers which aim to find the absolute or approximate ground states of the Ising model. The Ising model is of fundamental computational interest because it is possible to formulate any problem in the complexity…

Quantum Physics · Physics 2022-04-04 Naeimeh Mohseni , Peter L. McMahon , Tim Byrnes

We introduce a computational method to optimize target physical properties in the full configuration space regarding atomic composition, chemical stoichiometry, and crystal structure. The approach combines the universal potential of the…

Materials Science · Physics 2025-03-03 Guanjian Cheng , Xin-Gao Gong , Wan-Jian Yin

The development of tailored materials for specific applications is an active field of research in chemistry, material science and drug discovery. The number of possible molecules that can be obtained from a set of atomic species grow…

The traditional clustering problem of renewable energy profiles is typically formulated as a combinatorial optimization that suffers from the Curse of Dimensionality (CoD) on classical computers. To address this issue, this paper first…

Quantum Physics · Physics 2026-03-04 Chengjun Liu , Yijun Xu , Wei Gu , Bo Sun , Kai Wen , Shuai Lu , Lamine Mili

In this paper I propose a new model for representing the formation energies of multicomponent crystalline alloys as a function of atom types. In the cases when displacements of atoms from their equilibrium positions are not large, the…

Computational Physics · Physics 2017-08-02 Alexander Shapeev

Fast and accurate prediction of optimal crystal structure, topology, and microstructures is important for accelerating the design and discovery of new materials. A challenge lies in the exorbitantly large structural and compositional space…

Data mining is a recognized predictive tool in a variety of areas ranging from bioinformatics and drug design to crystal structure prediction. In the present study, an electronic structure implementation has been combined with structural…

Materials Science · Physics 2008-08-18 C. Ortiz , O. Eriksson , M. Klintenberg

Generative modeling of crystal structures is significantly challenged by the complexity of input data, which constrains the ability of these models to explore and discover novel crystals. This complexity often confines de novo design…

Machine Learning · Computer Science 2024-10-01 Onur Boyar , Yanheng Gu , Yuji Tanaka , Shunsuke Tonogai , Tomoya Itakura , Ichiro Takeuchi

Ising machines (IM) are physics-inspired alternatives to von Neumann architectures for solving hard optimization tasks. By mapping binary variables to coupled Ising spins, IMs can naturally solve unconstrained combinatorial optimization…

Emerging Technologies · Computer Science 2025-08-01 Corentin Delacour

The recent emergence of novel computational devices, such as quantum computers, coherent Ising machines, and digital annealers presents new opportunities for hardware-accelerated hybrid optimization algorithms. Unfortunately, demonstrations…

Optimization and Control · Mathematics 2020-10-21 Yuchen Pang , Carleton Coffrin , Andrey Y. Lokhov , Marc Vuffray

Isomer search or molecule enumeration refers to the problem of finding all the isomers for a given molecule. Many classical search methods have been developed in order to tackle this problem. However, the availability of quantum computing…

Quantum Physics · Physics 2020-07-01 Jason P. Terry , Prosper D. Akrobotu , Christian F. A. Negre , Susan M. Mniszewski

We propose an annealing scheme usable on modern Ising machines for crystal structures prediction (CSP) by taking into account the general n-body atomic interactions, and in particular three-body interactions which are necessary to simulate…

As computers get faster, researchers -- not hardware or algorithms -- become the bottleneck in scientific discovery. Computational study of colloidal self-assembly is one area that is keenly affected: even after computers generate massive…

Soft Condensed Matter · Physics 2018-03-28 Matthew Spellings , Sharon C Glotzer

The emergence of specialized optimization hardware such as CMOS annealers and adiabatic quantum computers carries the promise of solving hard combinatorial optimization problems more efficiently in hardware. Recent work has focused on…

Machine Learning · Computer Science 2020-03-05 Eldan Cohen , Avradip Mandal , Hayato Ushijima-Mwesigwa , Arnab Roy